Preface |
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xi | |
1 Introduction |
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1 | (16) |
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1.1 The rise of health economics |
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1 | (3) |
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1.2 Decision making under uncertainty |
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4 | (5) |
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1.2.1 Deterministic models |
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4 | (2) |
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1.2.2 Probabilistic decision modelling |
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6 | (3) |
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1.3 Evidence-based medicine |
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9 | (1) |
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10 | (1) |
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11 | (1) |
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1.6 Structure of the book |
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12 | (1) |
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13 | (1) |
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13 | (1) |
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14 | (3) |
2 Bayesian methods and WinBUGS |
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2.1 Introduction to Bayesian methods |
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17 | (9) |
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2.1.1 What is a Bayesian approach? |
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17 | (1) |
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18 | (1) |
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2.1.3 Bayes' theorem and Bayesian updating |
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19 | (3) |
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2.1.4 Prior distributions |
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22 | (1) |
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2.1.5 Summarising the posterior distribution |
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23 | (1) |
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24 | (1) |
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2.1.7 More realistic and complex models |
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24 | (1) |
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2.1.8 MCMC and Gibbs sampling |
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25 | (1) |
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2.2 Introduction to WinBUGS |
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26 | (13) |
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26 | (5) |
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2.2.2 Graphical representation |
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31 | (1) |
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32 | (1) |
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2.2.4 Assessing convergence in WinBUGS |
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33 | (3) |
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2.2.5 Statistical inference in WinBUGS |
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36 | (3) |
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2.2.6 Practical aspects of using WinBUGS |
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39 | (1) |
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2.3 Advantages and disadvantages of a Bayesian approach |
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39 | (1) |
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40 | (1) |
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41 | (1) |
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41 | (1) |
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42 | (1) |
3 Introduction to decision models |
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43 | (33) |
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43 | (1) |
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44 | (1) |
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45 | (7) |
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3.3.1 Effects of interventions |
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45 | (5) |
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3.3.2 Quantities relating to the clinical epidemiology of the clinical condition being treated |
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50 | (2) |
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52 | (1) |
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3.3.4 Resource use and costs |
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52 | (1) |
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3.4 Deterministic decision tree |
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52 | (4) |
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3.5 Stochastic decision tree |
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56 | (10) |
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3.5.1 Presenting the results of stochastic economic decision models |
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60 | (6) |
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66 | (4) |
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3.7 Principles of synthesis for decision models (motivation for the rest of the book) |
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70 | (1) |
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70 | (1) |
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71 | (1) |
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71 | (1) |
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72 | (4) |
4 Meta-analysis using Bayesian methods |
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76 | (18) |
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76 | (2) |
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78 | (3) |
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81 | (6) |
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4.3.1 The predictive distribution |
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83 | (1) |
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4.3.2 Prior specification for τ |
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84 | (1) |
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4.3.3 'Exact' Random Effects model for Odds Ratios based on a Binomial likelihood |
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84 | (2) |
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4.3.4 Shrunken study level estimates |
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86 | (1) |
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87 | (1) |
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88 | (1) |
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88 | (1) |
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88 | (1) |
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89 | (3) |
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92 | (2) |
5 Exploring between study heterogeneity |
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94 | (21) |
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94 | (1) |
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5.2 Random effects meta-regression models |
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95 | (9) |
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5.2.1 Generic random effect meta-regression model |
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95 | (3) |
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5.2.2 Random effects meta-regression model for Odds Ratio (OR) outcomes using a Binomial likelihood |
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98 | (2) |
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5.2.3 Autocorrelation and centring covariates |
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100 | (4) |
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5.3 Limitations of meta-regression |
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104 | (1) |
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105 | (5) |
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5.4.1 Model for including baseline risk in a meta-regression on the (log) OR scale |
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107 | (2) |
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5.4.2 Final comments on including baseline risk as a covariate |
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109 | (1) |
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110 | (1) |
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110 | (1) |
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110 | (3) |
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113 | (2) |
6 Model critique and evidence consistency in random effects meta-analysis |
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115 | (23) |
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115 | (2) |
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6.2 The Random Effects model revisited |
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117 | (4) |
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121 | (3) |
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121 | (1) |
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122 | (2) |
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124 | (3) |
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6.4.1 Effective number of parameters, pD |
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125 | (1) |
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6.4.2 Deviance Information Criteria |
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126 | (1) |
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6.5 Exploring inconsistency |
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127 | (7) |
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128 | (3) |
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6.5.2 Mixed predictive checks |
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131 | (3) |
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134 | (1) |
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134 | (1) |
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134 | (3) |
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137 | (1) |
7 Evidence synthesis in a decision modelling framework |
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138 | (13) |
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138 | (1) |
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7.2 Evaluation of decision models: One-stage vs two-stage approach |
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139 | (8) |
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7.3 Sensitivity analyses (of model inputs and model specifications) |
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147 | (1) |
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147 | (1) |
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147 | (1) |
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147 | (2) |
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149 | (2) |
8 Multi-parameter evidence synthesis |
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151 | (18) |
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151 | (1) |
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8.2 Prior and posterior simulation in a probabilistic model: Maple Syrup Urine Disease (MSUD) |
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152 | (3) |
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8.3 A model for prenatal HIV testing |
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155 | (6) |
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8.4 Model criticism in multi-parameter models |
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161 | (2) |
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8.5 Evidence-based policy |
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163 | (1) |
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164 | (1) |
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165 | (1) |
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166 | (1) |
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167 | (2) |
9 Mixed and indirect treatment comparisons |
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169 | (24) |
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9.1 Why go beyond 'direct' head-to-head trials? |
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169 | (3) |
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9.2 A fixed treatment effects model for MTC |
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172 | (6) |
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9.2.1 Absolute treatment effects |
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176 | (1) |
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9.2.2 Relative treatment efficacy and ranking |
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176 | (2) |
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9.3 Random Effects MTC models |
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178 | (1) |
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9.4 Model choice and consistency of MTC evidence |
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179 | (2) |
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9.4.1 Techniques for presenting and understanding the results of MTC |
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180 | (1) |
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181 | (1) |
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9.6 Assumptions made in mixed treatment comparisons |
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182 | (1) |
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9.7 Embedding an MTC within a cost-effectiveness analysis |
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183 | (2) |
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9.8 Extension to continuous, rate and other outcomes |
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185 | (2) |
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187 | (1) |
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187 | (2) |
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189 | (1) |
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190 | (3) |
10 Markov models |
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193 | (34) |
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193 | (2) |
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10.2 Continuous and discrete time Markov models |
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195 | (1) |
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10.3 Decision analysis with Markov models |
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196 | (3) |
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10.3.1 Evaluating Markov models |
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197 | (2) |
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10.4 Estimating transition parameters from a single study |
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199 | (7) |
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202 | (1) |
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10.4.2 Priors and posteriors for multinomial probabilities |
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202 | (4) |
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10.5 Propagating uncertainty in Markov parameters into a decision model |
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206 | (3) |
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10.6 Estimating transition parameters from a synthesis of several studies |
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209 | (15) |
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10.6.1 Challenges for meta-analysis of evidence on Markov transition parameters |
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209 | (2) |
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10.6.2 The relationship between probabilities and rates |
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211 | (2) |
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10.6.3 Modelling study effects |
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213 | (2) |
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10.6.4 Synthesis of studies reporting aggregate data |
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215 | (2) |
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10.6.5 Incorporating studies that provide event history data |
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217 | (2) |
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10.6.6 Reporting results from a Random Effects model |
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219 | (1) |
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10.6.7 Incorporating treatment effects |
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220 | (4) |
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224 | (1) |
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224 | (1) |
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224 | (1) |
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225 | (2) |
11 Generalised evidence synthesis |
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227 | (24) |
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227 | (3) |
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11.2 Deriving a prior distribution from observational evidence |
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230 | (3) |
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11.3 Bias allowance model for the observational data |
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233 | (5) |
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11.4 Hierarchical models for evidence from different study designs |
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238 | (6) |
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244 | (1) |
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244 | (1) |
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245 | (1) |
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246 | (2) |
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248 | (3) |
12 Expected value of information for research prioritisation and study design |
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251 | (19) |
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251 | (5) |
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12.2 Expected value of perfect information |
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256 | (3) |
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12.3 Expected value of partial perfect information |
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259 | (5) |
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261 | (3) |
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264 | (1) |
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12.4 Expected value of sample information |
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264 | (2) |
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265 | (1) |
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12.5 Expected net benefit of sampling |
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266 | (1) |
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267 | (1) |
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268 | (1) |
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268 | (1) |
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268 | (2) |
Appendix 1 Abbreviations |
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270 | (2) |
Appendix 2 Common distributions |
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272 | (6) |
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A2.1 The Normal distribution |
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272 | (1) |
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A2.2 The Binomial distribution |
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273 | (1) |
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A2.3 The Multinomial distribution |
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273 | (1) |
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A2.4 The Uniform distribution |
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274 | (1) |
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A2.5 The Exponential distribution |
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274 | (1) |
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A2.6 The Gamma distribution |
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275 | (1) |
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A2.7 The Beta distribution |
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276 | (1) |
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A2.8 The Dirichlet distribution |
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277 | (1) |
Index |
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278 | |